Microscopic theory of spin friction and dissipative spin dynamics
arXiv:2410.16003 · doi:10.1103/PhysRevB.111.014402
Abstract
The real-time dynamics of local magnetic moments exchange coupled to a metallic system of conduction electrons is subject to dissipative friction even in the absence of spin-orbit coupling. Phenomenologically, this is usually described by a local Gilbert damping constant. Here, we use both linear response theory and adiabatic response theory to derive the spin friction microscopically for a generic single-band tight-binding model of the electronic structure. The resulting Gilbert damping is time-dependent and nonlocal. For a one-dimensional model, we compare the emergent relaxation dynamics as obtained from LRT and ART against each other and against the full solution of the microscopic equations of motion and demonstrate the importance of nonlocality, while the time dependence turns out to be irrelevant. In two dimensions and for a few magnetic moments in different geometries, it is found that the inclusion of nonlocal Gilbert damping can counterintuitively lead to longer relaxation times. Besides the distance dependence, the directional dependence of the nonlocal Gilbert damping turns out as very important. Our results are based on an expression relating the nonlocal Gilbert damping to the nonlocal tight-binding density of states close to the Fermi energy. This is exact in case of noninteracting electrons. Effects due to electronic correlations are studied within the random-phase approximation. For the Hubbard model at half filling and with increasing interaction strength, we find a strong enhancement of the nonlocality of spin friction.
21 pages, 17 figures, v2 with minor changes
References in corpus (46)
- A nonequilibrium equality for free energy differences
- Antiferromagnetic spintronics
- Colloquium. Quantum Fluctuation Relations: Foundations and Applications
- Atomistic spin model simulations of magnetic nanomaterials
- Fluctuation theorems: Work is not an observable
- Diagrammatic routes to nonlocal correlations beyond dynamical mean field theory
- Microscopic approach to current-driven domain wall dynamics
- Identification of the dominant precession damping mechanism in Fe, Co, and Ni by first-principles calculations
- A method for atomistic spin dynamics simulations: implementation and examples
- Ab-initio calculation of the Gilbert damping parameter via linear response formalism
- First-principles calculation of the Gilbert damping parameter via the linear response formalism with application to magnetic transition-metals and alloys
- Electron Transport Driven by Nonequilibrium Magnetic Textures
- Atomistic spin dynamic method with both damping and moment of inertia effects included from first principles
- A unified first-principles study of Gilbert damping, spin-flip diffusion and resistivity in transition metal alloys
- Linear dynamics of quantum-classical hybrids
- Prediction of Giant Spin Motive Force due to Rashba Spin-Orbit Coupling
- Relativistic theory of magnetic inertia in ultrafast spin dynamics
- Time-retarded damping and magnetic inertia in the Landau-Lifshitz-Gilbert equation self-consistently coupled to electronic time-dependent nonequilibrium Green functions
- Inhomogeneous Gilbert damping from impurities and electron-electron interactions
- Relativistic theory of spin relaxation mechanisms in the Landau-Lifshitz-Gilbert equation of spin dynamics
- Spin dynamics and relaxation in the classical-spin Kondo-impurity model beyond the Landau-Lifschitz-Gilbert equation
- Geometric magnetism in open quantum systems
- Nonlocal torque operators in ab initio theory of the Gilbert damping in random ferromagnetic alloys
- Effective temperature and Gilbert damping of a current-driven localized spin
- Spintronics meets nonadiabatic molecular dynamics: Geometric spin torque and damping on noncollinear classical magnetism due to electronic open quantum system
- Gilbert Damping in Conducting Ferromagnets I: Kohn-Sham Theory and Atomic-Scale Inhomogeneity
- Anomalous spin precession under a geometrical torque
- Dynamics of localized spins coupled to the conduction electrons with charge/spin currents
- Exploring dynamical magnetism with time-dependent density-functional theory: from spin fluctuations to Gilbert damping
- Relaxation of a classical spin coupled to a strongly correlated electron system
- Detection of spin reversal and nutations through current measurements
- Green-Function-Based Monte Carlo Method for Classical Fields Coupled to Fermions
- Influence of nonlocal damping on the field-driven domain wall motion
- Voltage dependence of Landau-Lifshitz-Gilbert damping of a spin in a current driven tunnel junction
- Comparative study of methodologies to compute the intrinsic Gilbert damping: interrelations, validity and physical consequences
- Inertia effects in the real-time dynamics of a quantum spin coupled to a Fermi sea
- Gilbert damping in metallic ferromagnets from Schwinger-Keldysh field theory: Intrinsically nonlocal and nonuniform, and made anisotropic by spin-orbit coupling
- Gilbert damping in non-collinear magnetic system
- Accessing long timescales in the relaxation dynamics of spins coupled to a conduction-electron system using absorbing boundary conditions
- Anisotropy of spin-transfer torques and Gilbert damping induced by Rashba coupling
- Long-time relaxation dynamics of a spin coupled to a Chern insulator
- Spin Berry curvature of the Haldane model
- Emergent Non-Abelian Gauge Theory in Coupled Spin-Electron Dynamics
- Dynamics of spin relaxation in nonequilibrium magnetic nanojunctions
- Prerelaxation in quantum, classical, and quantum-classical two-impurity models
- Geometrical torque on magnetic moments coupled to a correlated antiferromagnet